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Finding the Fourth Proportional to 198,992.78, 298,503.87 and 56,850.09

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Solution

The fourth proportional to 198,992.78, 298,503.87 and 56,850.09 is: 85,279.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,992.78 : 298,503.87 = 56,850.09 : x
  2. Step 2: Convert to fraction form
    198,992.78/298,503.87 = 56,850.09/x
  3. Step 3: Cross multiply
    198,992.78x = 298,503.87 × 56,850.09
  4. Step 4: Simplify right side
    198,992.78x = 16,969,971,590.60
  5. Step 5: Solve for x
    x = 16,969,971,590.60/198,992.78
  6. Step 6: Final answer
    x = 85,279.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.